polar cone

noun

Relative to a set S in Rⁿ, the set of points y such that the inner product of x and y is not positive for any point x in S.

“Since a is in S and b is in Sᵒ — the polar cone of S — we know that aᵀ b ≤ 0.”

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Meanings

nounpolar cone (plural polar cones)

plural polar cones

  1. linear algebraRelative to a set S in Rⁿ, the set of points y such that the inner product of x and y is not positive for any point x in S.

    Since a is in S and b is in Sᵒ — the polar cone of S — we know that aᵀ b ≤ 0.

Cite this entry
APA

polar cone. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/polar%20cone

MLA

“polar cone.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/polar%20cone. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “polar cone,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/polar%20cone.

Source: polar cone on Wiktionary, CC BY-SA 4.0.